The Reds have struggled considerably this term, recently suffering a run of four straight defeats before a late equaliser consigned them to a 2-2 draw at Ludogorets.
Liverpool can still progress from their Champions League group but the worrying aspect of their troubles is that there appears to be no change week after week.
The Anfield outfit need a revival in fortunes soon and Scholes feels stress is taking its toll on Northern Irishman Rodgers.
"I rate Rodgers as a manager. I liked how his Swansea team played and I think he comes across well in his press conferences. At the moment he looks more stressed out than at any point since he took the job," the ex-Manchester United midfielder wrote in his column for the Independent and London Evening Standard.
"The expectation at Liverpool got out of control last season and now, when the belief from the fans has been that they should take the next step, the team have been unable to do it.
"I go back to the signings once again. They weren’t good enough. A manager lives and dies by the players he brings in, especially when someone as big as Luis Suarez leaves."
Liverpool host Stoke City on Saturday afternoon at 3pm, while Manchester United host Hull City.